{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 简介\n",
    "这一节主要是为模型打补丁，在这之前笔者已经介绍并实现了几种典型的机器学习模型，比如线性回归、logistic回归、最大熵、感知机、svm等，但目前它们都有一个共性，那就是构造的损失函数对每个样本都是“一视同仁”的，即每个样本在损失函数中权重都是一样的，为了方便，可以将它们的损失函数做如下抽象：  \n",
    "\n",
    "$$\n",
    "L(w,x,y)=\\sum_{i=1}^Nl(w,x_i,y_i)\n",
    "$$  \n",
    "\n",
    "这里$L(\\cdot)$表示整体的损失函数，$l(w,x_i,y_i)$表示第$i$个样本的损失函数，样本量为$N$，对具体情况有：  \n",
    "\n",
    "线性回归有：  \n",
    "\n",
    "$$\n",
    "l(w,x_i,y_i)=(y_i-w^Tx_i)^2\n",
    "$$  \n",
    "\n",
    "对logistic回归：  \n",
    "\n",
    "$$\n",
    "l(w,x_i,y_i)=-y_ilog\\phi(x_i,w)-(1-y_i)log(1-\\phi(x_i,w)),这里 \\phi(x,w)=\\frac{1}{1+e^{-w^Tx}}\n",
    "$$  \n",
    "\n",
    "对感知机：  \n",
    "\n",
    "$$\n",
    "l(w,x_i,y_i)=max\\{0,-y_iw^Tx_i\\}\n",
    "$$  \n",
    "\n",
    "对最大熵模型：  \n",
    "\n",
    "$$\n",
    "l(w,x_i,y_i)=\\frac{exp(\\sum_{j=1}^nw_jf_j(x_i,y_i))}{\\sum_yexp(\\sum_{j=1}^nw_jf_j(x_i,y))},这里f_j,j=1,2,..,n表示特征函数\n",
    "$$  \n",
    "\n",
    "对svm：  \n",
    "\n",
    "$$\n",
    "l(w,x_i,y_i)=\\frac{1}{2N}w^Tw+C\\varepsilon_i,y_i(w^T\\phi(x_i)+b)\\geq 1-\\varepsilon_i,\\varepsilon_i\\geq0\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 代价敏感\n",
    "如果对所有样本的损失函数都考虑一样的权重其实是有问题的，比如对于**离群点**、**异常点**这样的数据，其实可以忽略掉其损失函数；特别地，对于类别不平衡分类问题，我们可以给少数类样本更高的权重，而对于多数类更低的权重；另外对于像adaboost这样的集成学习方法，我们可以迭代调整每个样本点的权重以组合得到一个不错的强分类器；所以在损失函数中考虑样本权重，在某些场景下其实很有必要，简单来说考虑样本权重后，损失函数可以更新如下：  \n",
    "\n",
    "$$\n",
    "L(w,x,y)=\\sum_{i=1}^N\\alpha_il(w,x_i,y_i)\n",
    "$$  \n",
    "\n",
    "这里$\\alpha_i$表示样本$i$的权重"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 代码实现\n",
    "代码实现其实很easy，根据目前的情况可以分为两类：  \n",
    "\n",
    "（1）若采用的随机梯度下降，可以对每次更新时的梯度$dw$乘以$\\alpha_i$；  \n",
    "\n",
    "（2）若采用对偶方式求解，则对其拉格朗日乘子做调整  \n",
    "\n",
    "\n",
    "具体地，我们为`fit`函数添加一个参数`sample_weight`以指定每个样本的权重（对各模型的更新代码就不帖了，见ml_models）,接下来我们用svm测试不平衡分类的效果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_classification\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "os.chdir('../')\n",
    "from ml_models import utils\n",
    "from ml_models.svm import SVC\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_classification(n_samples=500, n_features=2,\n",
    "                           n_informative=2,n_redundant=0,\n",
    "                           n_repeated=0, n_classes=2,\n",
    "                           n_clusters_per_class=1,weights=[0.05, 0.95],\n",
    "                           class_sep=3,flip_y=0.05, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "svc_without_sample_weight=SVC(kernel='rbf',gamma=2.0,tol=0.01)\n",
    "svc_without_sample_weight.fit(X,y)\n",
    "utils.plot_decision_function(X=X,y=y,clf=svc_without_sample_weight)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#然后我们加大少数类的权重\n",
    "weights=np.where(y==0,20,1)\n",
    "svc_with_sample_weight=SVC(kernel='rbf',gamma=2.0,tol=0.01)\n",
    "svc_with_sample_weight.fit(X,y,sample_weight=weights)\n",
    "utils.plot_decision_function(X=X,y=y,clf=svc_with_sample_weight)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
